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Finding the Fourth Proportional to 38,497, 53,126.02 and 20,833

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Solution

The fourth proportional to 38,497, 53,126.02 and 20,833 is: 28,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497 : 53,126.02 = 20,833 : x
  2. Step 2: Convert to fraction form
    38,497/53,126.02 = 20,833/x
  3. Step 3: Cross multiply
    38,497x = 53,126.02 × 20,833
  4. Step 4: Simplify right side
    38,497x = 1,106,774,374.66
  5. Step 5: Solve for x
    x = 1,106,774,374.66/38,497
  6. Step 6: Final answer
    x = 28,749.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.